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Simplifying 5x + 63 = 12x + 35 Reorder the terms: 63 + 5x = 12x + 35 Reorder the terms: 63 + 5x = 35 + 12x Solving 63 + 5x = 35 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 63 + 5x + -12x = 35 + 12x + -12x Combine like terms: 5x + -12x = -7x 63 + -7x = 35 + 12x + -12x Combine like terms: 12x + -12x = 0 63 + -7x = 35 + 0 63 + -7x = 35 Add '-63' to each side of the equation. 63 + -63 + -7x = 35 + -63 Combine like terms: 63 + -63 = 0 0 + -7x = 35 + -63 -7x = 35 + -63 Combine like terms: 35 + -63 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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